Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 362/72, 725/48, 899/80 quickly i.e. 8135950/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 362/72, 725/48, 899/80 is 8135950/8.
LCM(362/72, 725/48, 899/80) = 8135950/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 362/72,725/48,899/80
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 362,725,899
Least Common Multiple of Numerators i.e. LCM of 362,725,899 is 8135950.
GCF of Denominators means GCF of 72,48,80 as per the given fractions.
GCF of 72,48,80 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 362,725,899
29 | 362, 725, 899 |
362, 25, 31 |
∴ So the LCM of the given numbers is 29 x 362 x 25 x 31 = 8135950
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 362,725,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,725,899) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(362,725,899) x common factors =1 x 29 = 29
LCM(362,725,899) = ( 362 × 725 × 899 ) / 29
LCM(362,725,899) = 235942550 / 29
LCM(362,725,899) = 8135950
Lets's calculate GCF of 72,48,80
2 | 72, 48, 80 |
2 | 36, 24, 40 |
2 | 18, 12, 20 |
9, 6, 10 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8135950/8
Therefore the LCM of Fractions 362/72,725/48,899/80 is 8135950/8
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Greatest Common Factor
We found the factors 72,48,80 . The biggest common factor number is the GCF number.
So the greatest common factor 72,48,80 is 8.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 362/72, 725/48, 899/80?
Answer: LCM of Numerators as per given numbers 362/72, 725/48, 899/80 is
LCM of Numerators i.e. for 362,725,899 is 8135950
GCF of denominators i.e. for 72,48,80 is 8.
Thus, LCM of Fractions is 8135950/8.Finally, LCM of Fractions for 362/72, 725/48, 899/80 is 8135950/8.